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Mathematics for Machine Learning - GitHub Pages

Mathematics for Machine LearningGarrett ThomasDepartment of Electrical Engineering and Computer SciencesUniversity of California, BerkeleyJanuary 11, 20181 AboutMachine Learning uses tools from a variety of mathematical fields. This document is an attempt toprovide a summary of the mathematical background needed for an introductory class in machinelearning, which at UC Berkeley is known as CS 189 assumption is that the reader is already familiar with the basic concepts of multivariable calculusand linear algebra (at the level of UCB Math 53/54).

inverse is also a homomorphism) is called an isomorphism. If there exists an isomorphism from V to W, then V and W are said to be isomorphic, and we write V ˘=W. Isomorphic vector spaces are essentially \the same" in terms of their algebraic structure. It is an interesting fact that nite-

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Mathematics for Machine Learning - GitHub Pages

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2 Notation Notation Meaning R set of real numbers Rn set (vector space) of n-tuples of real numbers, endowed with the usual inner product Rm n set (vector space) of m-by-nmatrices ij Kronecker delta, i.e. ij= 1 if i= j, 0 otherwise rf(x) gradient of the function fat x r2f(x) Hessian of the function fat x A> transpose of the matrix A sample space P(A) probability of event A

  Machine, Learning, Machine learning

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